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From the definition of a generalized conformable spatial derivative, anexponential conformable function with three parameters $(a,b,\alpha)$ isproposed for a viscous and an inertial-viscous steady-state Navier-Stokes 1Dmodels, obtaining analytical solutions for both generalized conformable models.The conformable models' parameters are optimized to compare the viscous modelto a Darcian 1D flow and the inertial-viscous model to a non-Darcian 1D modelfor a specific range of Darcy numbers $(1\times10^{-2}<Da\leq 1)$. Velocityprofiles for the porous medium and the conformable model are computed andcompared, showing that the generalized conformable Navier Stokes 1D modelsdescribe the flow through a porous medium, for both Darcian and non-Darcianflow, without including a Darcy term or macroscopic porous characteristics.

Conformable 1D steady-state Navier-Stokes equations to describe flow through porous media